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Finding the Fourth Proportional to 757.50, 1,136.14 and 209.56

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Solution

The fourth proportional to 757.50, 1,136.14 and 209.56 is: 314.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.50 : 1,136.14 = 209.56 : x
  2. Step 2: Convert to fraction form
    757.50/1,136.14 = 209.56/x
  3. Step 3: Cross multiply
    757.50x = 1,136.14 × 209.56
  4. Step 4: Simplify right side
    757.50x = 238,089.50
  5. Step 5: Solve for x
    x = 238,089.50/757.50
  6. Step 6: Final answer
    x = 314.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.